"Community Organizing is a process where people who live in proximity to each other come together into an organization that acts in their shared self-interest"
"Community Organizers work with and develop new local leaders facilitating coalitions and recruiting in the development of campaigns"
So I expect if the community thinks a playground for their kids would be an asset to the neighborhood community organizers would work together with the people to bring that into existence. Perhaps by contacting local businesses for donations of supplies and workers. Or organizing fundraisers, collecting the contributions and putting that toward whatever the goal is. Bake sales. Car Washes. Whatever.
